ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
On Generalized Coprime Graphs
1
6
EN
S.
Mutharasu
Manonmaniam Sundaranar University
skannanmunna@yahoo.com
N.
Mohamed Rilwan
Manonmaniam Sundaranar University
rilwan2020@gmail.com
M. K.
Angel Jebitha
Manonmaniam Sundaranar University
angel_jebitha@yahoo.co.in
T.
Tamizh Chelvam
tamche59@gmail.com
10.7508/ijmsi.2014.02.001
Paul Erdos defined the concept of coprime graph and studied about cycles in coprime graphs. In this paper this concept is generalized and a new graph called Generalized coprime graph is introduced. Having observed certain basic properties of the new graph it is proved that the chromatic number and the clique number of some generalized coprime graphs are equal.
Coprime graph, Semi-perfect, Clique number, Chromatic number.
http://ijmsi.ir/article-1-319-en.html
http://ijmsi.ir/article-1-319-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
Local Cohomology with Respect to a Cohomologically Complete Intersection Pair of Ideals
7
13
EN
A.
Pour Eshmanan Talemi
poureshmanan@iaurasht.ac.ir
A.
Tehranian
tehranian@srbiau.ac.ir
10.7508/ijmsi.2014.02.002
Let $(R,fm,k)$ be a local Gorenstein ring of dimension $n$. Let $H_{I,J}^i(R)$ be theĀ local cohomology with respect to a pair of ideals $I,J$ and $c$ be the $inf{i|H_{I,J}^i(R)neq0}$. A pair of ideals $I, J$ is called cohomologically complete intersection if $H_{I,J}^i(R)=0$ for all $ineq c$. It is shown that, when $H_{I,J}^i(R)=0$ for all $ineq c$, (i) a minimal injective resolution of $H_{I,J}^c(R)$ presents like that of a Gorenstein ring (ii) $Hom_R(H_{I,J}^c(R),H_{I,J}^c(R))simeq R$, where $(R,fm)$ is a complete ring. Also we get an estimate of theĀ dimension of $H_{I,J}^i(R)$.
Vanishing, Local cohomology, Gorenstein ring.
http://ijmsi.ir/article-1-640-en.html
http://ijmsi.ir/article-1-640-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
Strongly almost ideal convergent sequences in a locally convex space defined by Musielak-Orlicz function
15
35
EN
B.
Hazarika
Rajiv Gandhi University
bh_rgu@yahoo.co.in
10.7508/ijmsi.2014.02.003
In this article, we introduce a new class of ideal convergent sequence spaces using an infinite matrix, Musielak-Orlicz function and a new generalized difference matrix in locally convex spaces. We investigate some linear topological structures and algebraic properties of these spaces. We also give some relations related to these sequence spaces.
$I$-convergence, difference space, Musielak-Orlicz function.
http://ijmsi.ir/article-1-522-en.html
http://ijmsi.ir/article-1-522-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
The p-median and p-center Problems on Bipartite Graphs
37
43
EN
J.
Fathali
fathali@shahroodut.ac.ir
N.
Jafari Rad
n.jafarirad@shahroodut.ac.ir
S.
Rahimi Sherbaf
srahimi@shahroodut.ac.ir
10.7508/ijmsi.2014.02.004
Let $G$ be a bipartite graph. In this paper we consider the two kind of location problems namely $p$-center and $p$-median problems on bipartite graphs. The $p$-center and $p$-median problems asks to find a subset of vertices of cardinality $p$, so that respectively the maximum and sum of the distances from this set to all other vertices in $G$ is minimized. For each case we present some properties to find exact solutions.
Location theory, $p$-median, $p$-center, Bipartite graphs.
http://ijmsi.ir/article-1-641-en.html
http://ijmsi.ir/article-1-641-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
Chromaticity of Turan Graphs with At Most Three Edges Deleted
45
64
EN
G.-C.
Lau
laugc@johor.uitm.edu.my
Y.-H.
Peng
yhpeng@fsas.upm.edu.my
S.
Alikhani
alikhani@yazd.ac.ir
10.7508/ijmsi.2014.02.005
Let $P(G,lambda)$ be the chromatic polynomial of a graph $G$. A graph $G$ ischromatically unique if for any graph $H$, $P(H, lambda) = P(G,lambda)$ implies $H$ is isomorphic to $G$. In this paper, we determine the chromaticity of all Tur'{a}n graphs with at most three edges deleted. As a by product, we found many families of chromatically unique graphs and chromatic equivalence classes of graphs.
Chromatic polynomial, Chromatic uniqueness, Turan graph.
http://ijmsi.ir/article-1-642-en.html
http://ijmsi.ir/article-1-642-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
A Semidefinite Optimization Approach to Quadratic Fractional Optimization with a Strictly Convex Quadratic Constraint
65
71
EN
M.
Salahi
salahim@guilan.ac.ir
S.
Fallahi
saeedf808@gmail.com
10.7508/ijmsi.2014.02.006
In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefinite optimization relaxation in polynomial time.
Quadratic fractional optimization, Semidefinite optimization relaxation, Global optimization.
http://ijmsi.ir/article-1-643-en.html
http://ijmsi.ir/article-1-643-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
On Some Fractional Systems of Difference Equations
73
86
EN
N.
Touafek
Jijel University
nouressadat_touafek@yahoo.com
10.7508/ijmsi.2014.02.007
This paper deal with the solutions of the systems of difference equations $$x_{n+1}=frac{y_{n-3}y_nx_{n-2}}{y_{n-3}x_{n-2}pm y_{n-3}y_n pm y_nx_{n-2}}, ,y_{n+1}=frac{y_{n-2}x_{n-1}}{ 2y_{n-2}pm x_{n-1}},,nin mathbb{N}_{0},$$ where $mathbb{N}_{0}=mathbb{N}cup left{0right}$, and initial values $x_{-2},, x_{-1},,x_{0},,y_{-3},,y_{-2},,y_{-1},,y_{0}$ are non-zero real numbers.
System of difference equations, Form of the solutions, Periodicity.
http://ijmsi.ir/article-1-524-en.html
http://ijmsi.ir/article-1-524-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
Some Results on Convexity and Concavity of Multivariate Copulas
87
100
EN
A.
Dolati
adolati@yazd.ac.ir
A.
Dehgan Nezhad
anezhad@yazd.ac.ir
10.7508/ijmsi.2014.02.008
This paper provides some results on different types of convexity and concavity in the class of multivariate copulas. We also study their properties and provide several examples to illustrate our results.
Componentwise concavity, Copula, Quasi-concavity, Schur-concavity.
http://ijmsi.ir/article-1-644-en.html
http://ijmsi.ir/article-1-644-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
Application of the Norm Estimates for Univalence of Analytic Functions
101
108
EN
R.
Aghalary
10.7508/ijmsi.2014.02.009
By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.
Starlike functions, Differential subordination, Integral operators.
http://ijmsi.ir/article-1-377-en.html
http://ijmsi.ir/article-1-377-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
On the Ultramean Construction
109
119
EN
M.
Bagheri
Tarbiat-Modares
bagheri@modares.ac.ir
10.7508/ijmsi.2014.02.010
We use the ultramean construction to prove linear compactness theorem. We also extend the Rudin-Keisler ordering to maximal probability charges and characterize it by embeddings of power ultrameans.
Continuous logic, Ultramean, Linear compactness, Rudin-Keisler ordering.
http://ijmsi.ir/article-1-391-en.html
http://ijmsi.ir/article-1-391-en.pdf
ACECR at Tarbiat Modares University
Iranian Journal of Mathematical Sciences and Informatics
1735-4463
2008-9473
9
2
2014
11
1
ABSTRACTS IN PERSIAN - Vol. 9, No. 2
121
131
EN
Name of Authors
in This Volume
Please see the full text contains the Pesian abstracts for this volume.
http://ijmsi.ir/article-1-843-en.html
http://ijmsi.ir/article-1-843-en.pdf